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9138272208 = 24313174121011
BaseRepresentation
bin10001000001010111…
…01111011111010000
3212120212021022211020
420200223233133100
5122203344202313
64110440515440
7442312014012
oct104053573720
925525238736
109138272208
11396a35318a
12193047bb80
13b28304080
1462992a1b2
153873e1323
hex220aef7d0

9138272208 has 160 divisors (see below), whose sum is σ = 27576484992. Its totient is φ = 2581708800.

The previous prime is 9138272153. The next prime is 9138272219. The reversal of 9138272208 is 8022728319.

It is a happy number.

9138272208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9138272208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424423 + ... + 445433.

Almost surely, 29138272208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9138272208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788242496).

9138272208 is an abundant number, since it is smaller than the sum of its proper divisors (18438212784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9138272208 is a wasteful number, since it uses less digits than its factorization.

9138272208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21093 (or 21087 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 9138272208 is about 95594.3105419983. The cubic root of 9138272208 is about 2090.6822408900.

The spelling of 9138272208 in words is "nine billion, one hundred thirty-eight million, two hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 41 48 51 52 68 78 82 102 104 123 136 156 164 204 208 221 246 272 312 328 408 442 492 533 624 656 663 697 816 884 984 1066 1326 1394 1599 1768 1968 2091 2132 2652 2788 3198 3536 4182 4264 5304 5576 6396 8364 8528 9061 10608 11152 12792 16728 18122 21011 25584 27183 33456 36244 42022 54366 63033 72488 84044 108732 126066 144976 168088 217464 252132 273143 336176 357187 434928 504264 546286 714374 819429 861451 1008528 1071561 1092572 1428748 1638858 1722902 2143122 2185144 2584353 2857496 3277716 3445804 4286244 4370288 4643431 5168706 5714992 6555432 6891608 8572488 9286862 10337412 11198863 13110864 13783216 13930293 14644667 17144976 18573724 20674824 22397726 27860586 29289334 33596589 37147448 41349648 43934001 44795452 55721172 58578668 67193178 74294896 87868002 89590904 111442344 117157336 134386356 175736004 179181808 190380671 222884688 234314672 268772712 351472008 380761342 537545424 571142013 702944016 761522684 1142284026 1523045368 2284568052 3046090736 4569136104 9138272208